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Properties of Logarithms

log(x-y)=logx...

Question

log(x-y)=logx-logy

True

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False

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(\frac{y}{x} + sin y) dx + (log x + x cos y) dy = 0

If $l o g \frac{x}{y} + l o g \frac{y}{x} = l o g (x + y)$ , then which of the following equations is true?

log(x-y)=logx-logy

a (x - y) = a x - a y

a^{x - y} = a^{x} - a^{y}

log (x - y) = log x - log y

log x / log y = log x - log y

a (x y) = a x \cdot a y

{log}_{y} x + {log}_{x} y = 7

({log}_{y} x)^{2} + ({log}_{x} y)^{2}

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